Solve the equation and also verify your solution:(2x-1)/3 – (6x-2)/5

1.	Solve the equation and also verify your solution:(2x-1)/3 – (6x-2)/5 = 1/3
Answer» We have, (2x-1)/3 – (6x-2)/5 = 1/3 By taking LCM for 3 and 5 which is 15 ((2x-1)×5)/15 – ((6x-2)×3)/15 = 1/3 (10x – 5)/15 – (18x – 6)/15 = 1/3 (10x – 5 – 18x + 6)/15 = 1/3 (-8x + 1)/15 = 1/3 By using cross-multiplication we get, (-8x + 1)3 = 15 -24x + 3 = 15 -24x = 15 – 3 -24x = 12 x = -12/24 = -1/2 ∴ x = -1/2

Solve the equation and also verify your solution:(2x-1)/3 – (6x-2)/5 = 1/3

Answer»

We have,

(2x-1)/3 – (6x-2)/5 = 1/3

By taking LCM for 3 and 5 which is 15

((2x-1)×5)/15 – ((6x-2)×3)/15 = 1/3

(10x – 5)/15 – (18x – 6)/15 = 1/3

(10x – 5 – 18x + 6)/15 = 1/3

(-8x + 1)/15 = 1/3

By using cross-multiplication we get,

(-8x + 1)3 = 15

-24x + 3 = 15

-24x = 15 – 3

-24x = 12

x = -12/24

= -1/2

∴ x = -1/2